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Clean the Fourier Transform along the spectral axis of the DIRTY cube, and transform back the Clean components to retrieve the per-channel Clean components. The final Clean image is produced using UV_RESTORE.
The usual Clean convergence parameters apply, although CLEAN_NKEEP may need small adjustment because of the non-positive nature of the signal.
The Fourier Transform leads to a Complex valued data set, whose Hermiticity is not considered. Real and Imaginary parts are cleaned separately, so the method is about twice slower than a standard Clean.